6+(b*3)+(b+45)=476

Solution for 6+(b*3)+(b+45)=476 equation:

Simplifying
6 + (b * 3) + (b + 45) = 476

Reorder the terms for easier multiplication:
6 + (3b) + (b + 45) = 476

Reorder the terms:
6 + (3b) + (45 + b) = 476

Remove parenthesis around (45 + b)
6 + (3b) + 45 + b = 476

Reorder the terms:
6 + 45 + (3b) + b = 476

Combine like terms: 6 + 45 = 51
51 + (3b) + b = 476

Combine like terms: (3b) + b = 4b
51 + 4b = 476

Solving
51 + 4b = 476

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-51' to each side of the equation.
51 + -51 + 4b = 476 + -51

Combine like terms: 51 + -51 = 0
0 + 4b = 476 + -51
4b = 476 + -51

Combine like terms: 476 + -51 = 425
4b = 425

Divide each side by '4'.
b = 106.25

Simplifying
b = 106.25